maths
zone
sums will set you free -
at abelard.org

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Maths,
or sums, are often misunderstood.

Language is used for communication between humans. Mathematics
is a more precise means for communicating than everyday
language, but it is important to realise that mathematics
is not different in type from English.

In the sums will set you free zone,
abelard offers articles that can help demystify this language,
and so enable the user to understand and to master much
in their physical and social environment.

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abstracts
of articles

how to teach a person number, arithmetic, mathematics
pages have simple, illustrated explanations

introductionNumbers are labels assigned to
real objects, with particular labels assigned to different
sized groupings of objects.

subtraction
& more countingSeparating one or more objects
from a group is the start of subtraction. Continuing
with basic number and sums. Includes sections on
counting in the real world, placeholders, subtraction,
equals, category - logic blocks

.multiplicationMultiplication can be regarded
as repeated addition, or constant addition. But
often, instead of adding just one each time, a collection
or set of items is added again. Continuing basic
number and sums.

division Division is constant subtraction,
with smaller groups of items are removed from a
larger collection. Continuing basic number and sums.

writing
down sumsWhen teaching basic arithmetic to pre-literate people, it is less confusing for the learner to grasp the writing of, and the reading of, numbers separately.
Step by step illustrated explanations, in clear language, for additioon, subtraction, multiplication, division, as well as long multiplication and long division sums..

simultaneous equations, with model answersWorking with simultaneous equations is working with more than one equation at a time [simultaneously], and with more than one variable. Worked examples with commentary, illustrations.

abelard’s
maths educational counterCount up, count down, in binary,
in decimal, in hexadecimal, or whatever you choose.
Even count backwards in negative decimals. An excellent,
fluent and very useful tool for all sums learners
and teachers.

understanding,
calculating, and changing bases Numbers are counted in groups
called bases, to make it easier to count larger
groups (or sets) of numbers. A simple explanation
of how to count in different bases using abelard’s
educational counter, together with some everyday
examples

Laying
the foundations for sound education
Teaching the basics of psychology, including the difference
between reality and the words in their heads, to children
and adults. This is also the intent of 'meditation' properly
understood.

oppression,
poverty and life expectancy
Oppression leads to poverty. Poverty leads to earlier
death. Meanwhile socialist dictatorships also murder in
bulk.With explanations of Loss of Life Expectancy (LLE)
and logarithms.

calculating
moving averages
One way of dealing with the problems where trends are
uncertain is to do what is called a moving average. A
possible tool to help understand today’s volatile
money markets.